Heat olive oil in a large skillet over medium heat. Add onion and garlic; cook 2 minutes, stirring occasionally. Add chopped tomato and green chiles; cook 1 minute, stirring frequently. Stir in brown sugar, cinnamon, cumin, black pepper, and salt; cook 30 seconds, stirring constantly.
Reduce heat to low. Stir in raisins, capers, vinegar, and sherry; cook 3 minutes or until thoroughly heated, stirring often. Add turkey, stirring to combine. Remove from heat.
Warm tortillas according to package directions. Spoon about 1/3 cup turkey mixture onto each tortilla; fold in half.